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Write the standard form of the line that passes through the given points (5,-4) and has a slope of -3/8

- Tumblewolf

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- katieb

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- triciaal

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- triciaal

the slope of a line is the same for any 2 points on that line.

- Tumblewolf

I know all that. I just don't know how
to put it together

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## More answers

- triciaal

apply what you know.
substitute the values and simplify then rearrange the equation for the standard form.

- Tumblewolf

I have so far y=-3/8(x+B) and I can't figure out the value of b to move on from there

- anonymous

\[y-y _{1}=m \left( x-x _{1} \right)\]
m is the slope.

- triciaal

it would be much easier to use the point-slope format

- triciaal

repeat
the slope is the same for any 2 points on that line

- triciaal

use what you know

- Tumblewolf

I know that much I just can't figure out the math for it

- anonymous

\[y-(-4)=-\frac{ 3 }{ 8 }\left( x-5 \right)\]

- triciaal

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- Tumblewolf

I don't have the other two points. From what I can figur out it should be -3/8x+4y=-15/8

- triciaal

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- triciaal

take a second to look at this.
do the substitution
simplify
rearrange to the requested format.

- triciaal

do you have any more questions about it or did you take the time to do it?

- Tumblewolf

I'm trying to do it and I still can't figure it out. I don't want someone to show me the answer I just want an explination. I have several others like this that I have no idea how to do.

- triciaal

I can't make you read. that is all you need to do. start again and read my response. let me know where you are having trouble

- Tumblewolf

I got y=-3/8x-17/8 but that just doesn't seem right for the slope intercept

- triciaal

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- Tumblewolf

I got 3x+8y=-17 as the final answer

- triciaal

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- Tumblewolf

Where does the last 3 come from?

- triciaal

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- Tumblewolf

Oh okay so I did get it right! Thanks! and another quick question. If given the two points and told it's parallel to the X axis how to I go about setting that up? If it's parallel to X then it doesn't have a slope

- triciaal

parallel to the x-axis means it is a horiZontal line
equation will be y = (y-value where the line is)

- Tumblewolf

So if the points are (1,5) and y=5? Where do I go from there?

- triciaal

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- triciaal

(1,5) is a single point

- triciaal

question probably reads: find the equation of the line parallel to the x-axis and passes through the point (1,5)

- Tumblewolf

Similar but yes that's basically it

- triciaal

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- Tumblewolf

So would the equation just be y=5? Is there a special horizontal standard form equation?

- triciaal

i am glad i took the time with you. do you see how easy this is when you stop to read and to apply what you know?

- Tumblewolf

I have to teach myself this stuff and sometimes the way they explain things is hard. Usually I'm okay but for some reason this stuff is tricky for me

- triciaal

y = 5 is the equation for that line
for any value of x, y = 5 the slope is zero as you already know and the intercept is 5
y = mx + b m = 0 zero times anything is still zero

- Tumblewolf

So it wants me to write out how I got the answer. Do I just say that the slope is undefined and I can't divide by 0?

- triciaal

just take your time and then practice problems. math is not really tricky. need to practice and it becomes very easy to see everything

- Tumblewolf

I can do high level statistics and I don't have a problem with physics, chemistry, and some calculus. It's just this stuff. Linear and me don't get alone

- triciaal

correction to be more precise or other
there is no change in y for any change in x so the slope is undefined. the intercept is 5 so the equation of the line becomes y = 5

- Tumblewolf

Ah okay I think I get it I promise just one more they didn't even cover this one
So on another is the y-intercept is -3 and the points are (3,0) I would set it up as y=m(x+-3) which is y=m(x-3) how do I go from there?

- Tumblewolf

I am so sorry for wasting all your time!

- triciaal

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- Tumblewolf

so y=m(x+-3) or y=m(x-3)? What do I do with the points?

- triciaal

look at what i drew

- Tumblewolf

it's the slope intercept formula

- triciaal

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- triciaal

now substitute

- Tumblewolf

y=m(3-3) ?

- triciaal

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- triciaal

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- triciaal

you have to pay attention to the parenthesis

- Tumblewolf

-1x+y=-3?

- triciaal

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- triciaal

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- triciaal

if you have any new questions open a new post.

- triciaal

is everything clear for what we covered ?

- Tumblewolf

I think so? And again thank you for everything and I'm so sorry I took up all your time!!

- triciaal

it's ok. I am here to help. especially people who appreciate it eventually.
keep practicing. all the best

- Tumblewolf

Thank you again!n

- anonymous

\[y+4=-\frac{ 3 }{ 8 }\left( x-5 \right)\]
8y+32=-3x+15
3x+8y=15-32=-17
or second method
eq. of line is
y=mx+b
because it passes through (5,-4) and has slope -3/8
\[-4= -\frac{ 3 }{ 8 }*5+b\]
\[b=-4+\frac{ 15 }{ 8 }=\frac{ -32+15 }{ 8 }=-\frac{ 17 }{ 8 }\]
so eq. of line is
\[y=-\frac{ 3 }{ 8 } x-\frac{ 17 }{ 8 }\]
or 3x+8y=-17

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